Finding the Fourth Proportional to 10,825, 14,938.50 and 6,109.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,825 : 14,938.50 = 6,109.18 : x
2. Step 2: Convert to fraction form
   10,825/14,938.50 = 6,109.18/x
3. Step 3: Cross multiply
   10,825x = 14,938.50 × 6,109.18
4. Step 4: Simplify right side
   10,825x = 91,261,985.43
5. Step 5: Solve for x
   x = 91,261,985.43/10,825
6. Step 6: Final answer
   x = 8,430.67